Given that logx 64 = 3, evaluate x log\(_2\)8
A
6
B
9
C
12
D
24
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
If logx 64 = 3, then \(64 = x^3\)
\(4^3 = x^3\)
Since the indices are equal,
x = 4
Hence, x log\(_2\)8
= 4(3.log\(_2\)2)
= where log\(_2\)2 = 1(1)
= 12 X 1
= 12
Source: WAEC / JAMB / NECO Classroom Archive (Record #45704)